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3 years ago

Please help me :) 15 points avalibale

Mathematics

1 answer:

Neporo4naja [7]3 years ago

8 0

Which ordered pair is a solution of the equation y=x-2?

Simply plug in the numbers. We'll start with the first one (3,1). Y = 1, and X = 3, so 1 = 3 - 2.

3 - 2 = 1, which makes the ordered pair (3,1) a solution to the equation.

For the next one, do the same thing, just plug in your options.

y = 4x

We will do (-4,-1) first. So plug those in to the equation y = -1 and x will = -4

-1 = 4*-4, which would be -1 = -16, which isn't a solution to the ordered pair. Let's try (-1,-4).

y = -4, x = -1

-4 = 4*-1, which would = -4. Which is the solution to our equation! So the answer would be (-1,-4).

For the last one, do the SAME thing again.

y = -7x + 2

Plug in (8,-54) into the equation

-54 = -7*8 + 2

-7 * 8 = -56

-56 + 2 = -54

Which would make the solution (8,-54) the solution to the equation.

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The rectangle below has an area of x^2+8x+15x

Darina [25.2K]

Answer:

The length of the rectangle is x+5.

Step-by-step explanation:

Given : The rectangle below has an area of $x^2+8x+15$ square meter and a width of $x+3$ meter.

To find : What expression represents the length of the rectangle?

Solution :

The area of the rectangle is given by,

$\text{Area}=\text{Length}\times \text{Breadth}$

$\text{Area}=x^2+8x+15$

$\text{Breadth}=x+3$

$x^2+8x+15=\text{Length}\times(x+3)$

$\text{Length}=\frac{x^2+8x+15}{x+3}$

$\text{Length}=\frac{(x+5)(x+3)}{x+3}$

$\text{Length}=x+5$

Therefore, the length of the rectangle is x+5.

7 0

4 years ago

Select all statements below which are true for all invertible n×n matrices A and B

nirvana33 [79]

The statements that are rue for all invertible n×n matrices A and B are:
(A+B)(A−B)=A^2−B^2
and
(ABA^−1)^4=AB^4A^−1
From the above results we can conclude that the correct options among all the options that are given in the question are option "B" and option "E". I hope the answer helps you.

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3 years ago

Tim has 80 coins in his piggy bank. Of these coins, 28 are nickels and the rest are quarters. What percent of the coins in the b

KIM [24]

65 percent I check it

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3 years ago

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Explain and demonstrate the multiplication of complex conjugates using 2+3i and its complex conjugate. Be sure to discuss all st

krok68 [10]

The product of a complex number and its conjugate is (a + i b) · (a - i b), where a and b are real numbers, and the result for the complex number 2 + i 3 is 13.

<h3>What is the multiplication of a complex number and its conjugate</h3>

Let be a complex number a + i b, whose conjugate is a - i b. Where a and b are real numbers. The product of these two numbers is:

(a + i b) · (a - i b)

Then, we proceed to obtain the result by some algebraic handling:

a · (a + i b) + (- i b) · (a + i b)

a² + i a · b - i a · b - i² b²

a² - i² b²

a² + b²

If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:

$z\cdot \bar z = 2^{2} + 3^{2}$

$z\cdot \bar z = 13$

To learn more on complex numbers: brainly.com/question/10251853

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2 years ago

What is 1/4 of 2000 1/5 of 1600 2/3 of 1965

pogonyaev

500, 320, 1310

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3 years ago

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